INNER-OUTER CURVATURES, OLLIVIER-RICCI CURVATURE AND VOLUME GROWTH OF GRAPHS

被引：2

作者：

Adriani, Andrea ^{[1
]}

Setti, Alberto G. ^{[1
]}

机构：

[1] Univ Insubria, DiSTA, Via Valleggio 11, I-22100 Como, Italy

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2021年 / 149卷 / 11期

关键词：

Infinite weighted graphs; curvature; volume growth; METRIC-MEASURE-SPACES; FELLER PROPERTY;

D O I：

10.1090/proc/15583

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We are concerned with the study of different notions of curvature on graphs. We show that if a graph has stronger inner-outer curvature growth than a model graph, then it has faster volume growth too. We also study the relationships of volume growth with other kind of curvatures, such as the Ollivier-Ricci curvature.

引用

页码：4609 / 4621

页数：13

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